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Simplifying 4x + -1[3(x + 1) + -1(x + 4)] = 1 Reorder the terms: 4x + -1[3(1 + x) + -1(x + 4)] = 1 4x + -1[(1 * 3 + x * 3) + -1(x + 4)] = 1 4x + -1[(3 + 3x) + -1(x + 4)] = 1 Reorder the terms: 4x + -1[3 + 3x + -1(4 + x)] = 1 4x + -1[3 + 3x + (4 * -1 + x * -1)] = 1 4x + -1[3 + 3x + (-4 + -1x)] = 1 Reorder the terms: 4x + -1[3 + -4 + 3x + -1x] = 1 Combine like terms: 3 + -4 = -1 4x + -1[-1 + 3x + -1x] = 1 Combine like terms: 3x + -1x = 2x 4x + -1[-1 + 2x] = 1 4x + [-1 * -1 + 2x * -1] = 1 4x + [1 + -2x] = 1 Reorder the terms: 1 + 4x + -2x = 1 Combine like terms: 4x + -2x = 2x 1 + 2x = 1 Add '-1' to each side of the equation. 1 + -1 + 2x = 1 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 1 + -1 2x = 1 + -1 Combine like terms: 1 + -1 = 0 2x = 0 Solving 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '2'. x = 0 Simplifying x = 0
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